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Sur les fonctions périodiques de plusieurs variables

Published online by Cambridge University Press:  22 January 2016

Yukitaka Abe
Yukitaka Abe*
Affiliation:
Département de Mathématiques, Université de Toyama, Gofuku, Toyama 930, Japon
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Les fonctions périodiques d’une seule variable ont été étudiées depuis longtemps. On sait que toute fonction méromorphe de n variables 2n fois périodiques peut s’écrire comme quotient de deux fonctions thêta. Ceci est a l’origine de l’essor des fonctions thêta. Au contraire, l’étude des fonctions périodiques de n variables r fois périodiques (r < 2n) a pris du retard. Il nous semble que P. Cousin ([4] et [5]) a étudié ces fonctions pour la première fois.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 122 , June 1991 , pp. 83 - 114
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1991

References

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